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11Alexandr11 [23.1K]
3 years ago
7

6 less than the product of 5 and a number A. 5-6n B. 6+5n C. 5(n - 6) D. 5n-6

Mathematics
2 answers:
jolli1 [7]3 years ago
8 0

Answer:

D.

Step-by-step explanation:

5 times a number is 5n. We need to subtract 6 from that, so we have 5n-6 for any value n.

marishachu [46]3 years ago
8 0

Answer:

D. 5n - 6

Step-by-step explanation:

6 less means -6

The product of 5 and a number means 5 x n which is the same as 5n

And it wants us to subtract 6 from 5n

so we would write it as...

5n - 6

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Anyone please help!!!​
tatuchka [14]

Answer:

The answer is D.

Step-by-step explanation:

When you subtract 9 from h, the word “then” is a key term that means it’s usually in parentheses. Then you divide three.

6 0
2 years ago
Determine the margin of error for a 90% confidence interval to estimate the population mean when s = 40 for the sample sizes bel
Ann [662]

Answer:

a) The margin of error for a 90% confidence interval when n = 14 is 18.93.

b) The margin of error for a 90% confidence interval when n=28 is 12.88.

c) The margin of error for a 90% confidence interval when n = 45 is 10.02.

Step-by-step explanation:

The t-distribution is used to solve this question:

a) n = 14

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 14 - 1 = 13

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 13 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.9}{2} = 0.95. So we have T = 1.7709

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 1.7709\frac{40}{\sqrt{14}} = 18.93

In which s is the standard deviation of the sample and n is the size of the sample.

The margin of error for a 90% confidence interval when n = 14 is 18.93.

b) n = 28

27 df, T = 1.7033

M = T\frac{s}{\sqrt{n}} = 1.7033\frac{40}{\sqrt{28}} = 12.88

The margin of error for a 90% confidence interval when n=28 is 12.88.

c) The margin of error for a 90% confidence interval when n = 45 is

44 df, T = 1.6802

M = T\frac{s}{\sqrt{n}} = 1.6802\frac{40}{\sqrt{45}} = 10.02

The margin of error for a 90% confidence interval when n = 45 is 10.02.

3 0
3 years ago
Length of the hypotenuse of the triangle to the nearest tenth of a metre
Lemur [1.5K]

Answer:

The length of the hypotenuse is 2.4m

Step-by-step explanation:

well to start we have to know the relationship between angles, legs and the hypotenuse

α = 55°

o: opposite  = 2.0m

h: hypotenuse

sin α = o/h

cos α= a/h

tan α = o/a

we see that it has (angle, hypotenuse, opposite)

we look at which meets those data between the sine, cosine and tangent

is the sine

sin α = o/ah

Now we replace the values ​​and solve

sin 55 = 2.0/h

0.81915 = 2.0/h

h = 2.0 / 0.81915

h = 2.4415 m

round to the nearest tenth

h = 2.4415 = 2.4 m

The length of the hypotenuse is 2.4m

5 0
3 years ago
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Danika signs up to work for 3 1/2 hours at the science fair. If each work shift is 3/4 hour, how many shifts will Danika work?
forsale [732]

namely, how many times does 3/4 go into 3½?  Let's firstly convert the mixed fraction to improper fraction.

\bf \stackrel{mixed}{3\frac{1}{2}}\implies \cfrac{3\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{7}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{7}{2}\div \cfrac{3}{4}\implies \cfrac{7}{~~\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\cdot \cfrac{\stackrel{2}{~~\begin{matrix} 4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{3}\implies \cfrac{14}{3}\implies 4\frac{2}{3}

5 0
3 years ago
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Write an equation for the nth term of the geometric sequence -4, 8, -16...
monitta
Just keeping going with 16×-2=?×-2=?×-2 untill u get you your ninth nuber as well with tge 2 is a negative, so a a positive × a negative equal a negative and a negative × a negative equal
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3 years ago
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